A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random - Mathematics

Advertisements
Advertisements

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? (ii) white? (iii) not green?

Advertisements

Solution

Total number of marbles = 5 + 8 + 4

= 17

(1)Number of red marbles = 5

Probability of getting a red marble = `"Number of favorable outcome"/"Total number of outcome"`

= 5/17

(2) Number of white marbles = 8

Probability of getting a white marble = `"Number of favorable outcome"/"Total number of outcome"`

= 8/17

(3) Number of green marble = 4

Probability of getting a green marble = `"Number of favorable outcome"/"Total number of outcome"`

= 4/17

Probability of not getting a green marble = `1 - 4/17 = 13/17`

  Is there an error in this question or solution?
Chapter 15: Probability - Exercise 15.1 [Page 308]

APPEARS IN

NCERT Mathematics Class 10
Chapter 15 Probability
Exercise 15.1 | Q 9 | Page 308

RELATED QUESTIONS

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a spade.


What is the probability that an ordinary year has 53 Sundays?


A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the
probability that ball drawn is white?


A game of chance consists of spinning an arrow which is equally likely to come to rest
pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the
probability that it will point to an even number?


Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on consecutive days?


The faces of a red cube and a yellow cube are numbered from 1 to 6. Both cubes are rolled. What is the probability that the top face of each cube will have the same number?


From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will 

 be a face card of red colour. 


A game consists of spinning arrow which ccomes to rest pointing at one of the number 1,2,3,4,5,6,7,8,9,10,11,12; as shown below       

  

If the outcomes are equally likely, find the probability that the pointer will point at : 

(1) 6

(2) an even number 

(3) a prime number 

(4) a number greater than 8 

(5) a number   less than or equal to 9 

(6) a number between 3 and 11 


From a deck of 52 cards, all the face cards are removed and then the remaining cards are shuffled. Now one card is drawn from the remaining deck. Find the probability that the card drawn is: 

a black card


Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting: 

at most two heads 


How many possibilities is following?

Select one card from the pack of 52 cards.


How many possibilities is following?

One number from 10 to 20 is written on each card. Select one card randomly.


Six faces of a die are as shown below.

If the die is rolled once, find the probability of - ‘A’ appears on upper face.


Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.


In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at 8.


In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at a number greater than 2.


There are six cards in a box, each bearing a number from 0 to 5. Find the probability of the following event, that a card drawn show, a number is greater than 5.


A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is –not red.


Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’.


Out of 200 students from a school, 135 like Kabbaddi and the remaining students do not like the game. If one student is selected at random from all the students, find the probability that the student selected dosen't like Kabbaddi.


A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a - prime number.


A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a -  multiple of 4.


A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a - multiple of 11.


Fill in the blank:

The probability of a possible but not a sure event lies between ......... and ........ . 


A die is thrown 450 times and frequencies of the outcomes 1,2,3,4,5,6 were noted as given in the following table

outcomes 1 2 3 4 5 6
Frequency 73 70 74 75 80 78

(i) 4 


A die is thrown 450 times and frequencies of the outcomes 1,2,3,4,5,6 were noted as given in the following table

outcomes 1 2 3 4 5 6
Frequency 73 70 74 75 80 78

(ii) a number < 4


A coin is tossed 100 times with the following frequency:
Head = 55, Tail = 45.
Find the probability of getting head.


A die has 6 faces marked by the given numbers as shown below:

1 2 3 - 1 - 2 - 3

The die is thrown once. What is the probability of getting the smallest integer?


A dice is thrown once. What is the probability that the number is greater than 2?


Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is a prime number?


A coin is tossed 3 times. List the possible outcomes. Find the probability of getting at least 2 heads


The table given below shows the months of birth of 36 students of a class:

Month
of birth
Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.
No. of
students
4 3 5 0 1 6 1 3 4 3 4 2

A student is choosen at random. Fill in the boxes.

Total number of students = `square`

Let E be the event that the selected student is born in June.

Then, 

Number of times event E occurs = `square`

So, P (selected student is born in June)

P(E) = `"Number of students born in June"/square`

= `square/square`

= `square`


Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out of the bag at random. What is the probability that the number on the card taken out is an even number?


If a fair coin is tossed twice, find the probability of getting 'almost one head'.


The following letters A, D, M, N, O, S, U, Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter of the word,

  1. MONDAY?
  2. Which does not appear in MONDAY?
  3. Which appears both in SUNDAY and MONDAY?

Share
Notifications



      Forgot password?
Use app×